Determine the values of x=(x 2 x 2 ) 1/2 and p=(p 2 p 2 ) 1/2

Determine the values of Δx=(〈x²〉−〈x〉²)^1/2 and Δp=(〈p²〉−〈p〉²)^1/2 for the ground state of

(a) A particle in a box of length L

(b) An harmonic oscillator. Discuss these quantities with reference to the uncertainty principle.